A wave travels in a medium according to the equation of displacement given by $y(x,t) = 0.03\sin{(2t - 0.01x)}$ Where $y$ and $x$ are in $metres$ and $t$ in seconds. The wavelength of the wave is

Question

Dr. Abubacker · Accepted Answer

(a) Comparing with $y = (x,t) = a\sin{(\omega t - kx)}$
$k = \frac{2\pi}{\lambda} = 0.01\pi \Rightarrow \lambda = 200\ m$

Q. A wave travels in a medium according to the equation of displacement given by $y(x,t) = 0.03\sin{(2t - 0.01x)}$ Where $y$ and $x$ are in $metres$ and $t$ in seconds. The wavelength of the wave is

Explanation

Reviewed by Dr. Abubacker

Want more practice?